Question 10.4: Including Disbenefits in a B−C Analysis Refer back to Exampl...

Including Disbenefits in a B−C Analysis

Refer back to Example 10-2. In addition to the benefits and costs, suppose that there are disbenefits associated with the runway extension project. Specifically, the increased noise level from commercial jet traffic will be a serious nuisance to homeowners living along the approach path to the Columbia Municipal Airport. The annual disbenefit to citizens of Columbia caused by this noise pollution is estimated to be $100,000. Given this additional information, reapply the conventional B–C ratio, with equivalent annual worth, to determine whether this disbenefit affects your recommendation on the desirability of this project

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Disbenefits reduce               B–C = [AW(B) − AW(D)]/[CR + AW(O&M)] benefits,

Equation (10-5)                     B–C = [$490,000 − $100,000]/[$1,200,000 (A/P, 10%, 20) + $197,500] B–C = 1.152 > 1; extend runways.

Disbenefits treated as additional                  B–C = AW(B)/[CR + AW(O&M) + AW(D)] costs,

Equation (10-6)                                                B–C = $490,000/[$1,200,000 (A/P, 10%, 20) + $197,500 + $100,000] B–C = 1.118 > 1; extend runways.

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